Search a number
-
+
2100311201 is a prime number
BaseRepresentation
bin111110100110000…
…0011010010100001
312102101002212022202
41331030003102201
513300134424301
6544224542545
7103022231162
oct17514032241
95371085282
102100311201
1198863098a
124a7481a55
132761996c1
1415cd2b769
15c45c966b
hex7d3034a1

2100311201 has 2 divisors, whose sum is σ = 2100311202. Its totient is φ = 2100311200.

The previous prime is 2100311173. The next prime is 2100311209. The reversal of 2100311201 is 1021130012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2092605025 + 7706176 = 45745^2 + 2776^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100311201 - 214 = 2100294817 is a prime.

It is a super-2 number, since 2×21003112012 = 8822614282092124802, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2100311209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050155600 + 1050155601.

It is an arithmetic number, because the mean of its divisors is an integer number (1050155601).

Almost surely, 22100311201 is an apocalyptic number.

It is an amenable number.

2100311201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100311201 is an equidigital number, since it uses as much as digits as its factorization.

2100311201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2100311201 is about 45829.1523050558. The cubic root of 2100311201 is about 1280.6424186117.

Adding to 2100311201 its reverse (1021130012), we get a palindrome (3121441213).

The spelling of 2100311201 in words is "two billion, one hundred million, three hundred eleven thousand, two hundred one".